| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.52 |
| Score | 0% | 50% |
The formula for the area of a circle is which of the following?
c = π d |
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c = π r |
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c = π r2 |
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c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the lengths of all sides are equal |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
What is the circumference of a circle with a diameter of 4?
| 4π | |
| 17π | |
| 3π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 4π
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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\({\Delta y \over \Delta x}\) |
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y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Factor y2 - 7y - 18
| (y + 9)(y + 2) | |
| (y - 9)(y - 2) | |
| (y - 9)(y + 2) | |
| (y + 9)(y - 2) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -18 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -9 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 7y - 18
y2 + (-9 + 2)y + (-9 x 2)
(y - 9)(y + 2)